{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import math\n",
    "\n",
    "from sklearn import datasets\n",
    "from sklearn.model_selection import train_test_split\n",
    "\n",
    "from dnn_utils import initialize_parameters_deep, model_forward, compute_cost, model_backward, update_parameters, predict\n",
    "from plot_utils import plot_cost_accuracy, plot_decision_boundary"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "X, y = datasets.make_moons(100000, noise=0.20)\n",
    "X_train, X_test, y_train, y_test = train_test_split(X, y, test_size=0.2, random_state=42)\n",
    "X_val, X_test, y_val, y_test = train_test_split(X_test, y_test, test_size=0.5, random_state=42)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.collections.PathCollection at 0x1fbfba0aa88>"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.scatter(X_train[:1000,0], X_train[:1000,1], s=40, c=y_train[:1000], cmap=plt.cm.Spectral)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "X_train = X_train.T\n",
    "X_val = X_val.T\n",
    "X_test = X_test.T\n",
    "y_train = y_train.reshape((1, y_train.shape[0]))\n",
    "y_val = y_val.reshape((1, y_val.shape[0]))\n",
    "y_test = y_test.reshape((1, y_test.shape[0]))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "def random_mini_batches(X, Y, mini_batch_size=32, seed=0):\n",
    "    np.random.seed(seed)            # To make your \"random\" minibatches the same as ours\n",
    "    m = X.shape[1]                  # number of training examples\n",
    "    mini_batches = []\n",
    "        \n",
    "    # Step 1: Shuffle (X, Y)\n",
    "    permutation = list(np.random.permutation(m))\n",
    "    shuffled_X = X[:, permutation]\n",
    "    shuffled_Y = Y[:, permutation].reshape((1,m))\n",
    "\n",
    "    # Step 2: Partition (shuffled_X, shuffled_Y). Minus the end case.\n",
    "    num_complete_minibatches = math.floor(m/mini_batch_size) # number of mini batches of size mini_batch_size in your partitionning\n",
    "    for k in range(0, num_complete_minibatches):\n",
    "        mini_batch_X = shuffled_X[:,k * mini_batch_size:(k + 1) * mini_batch_size]\n",
    "        mini_batch_Y = shuffled_Y[:,k * mini_batch_size:(k + 1) * mini_batch_size]\n",
    "        mini_batch = (mini_batch_X, mini_batch_Y)\n",
    "        mini_batches.append(mini_batch)\n",
    "    \n",
    "    # Handling the end case (last mini-batch < mini_batch_size)\n",
    "    if m % mini_batch_size != 0:\n",
    "        end = m - mini_batch_size * math.floor(m / mini_batch_size)\n",
    "        mini_batch_X = shuffled_X[:,num_complete_minibatches * mini_batch_size:]\n",
    "        mini_batch_Y = shuffled_Y[:,num_complete_minibatches * mini_batch_size:]\n",
    "        mini_batch = (mini_batch_X, mini_batch_Y)\n",
    "        mini_batches.append(mini_batch)\n",
    "    \n",
    "    return mini_batches"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "def build_model(X_train, y_train, X_val, y_val, layers_dims, \n",
    "                initial_learning_rate=0.01, batch_size=32, epochs=100, activation='tanh', \n",
    "                print_cost=False):\n",
    "    seed = 10\n",
    "    # keep track of cost\n",
    "    costs = []  \n",
    "    train_accs = []\n",
    "    val_accs = []\n",
    "    learning_rate = initial_learning_rate\n",
    "    # Parameters initialization.\n",
    "    parameters = initialize_parameters_deep(layers_dims)\n",
    "    # Loop (gradient descent)\n",
    "    for i in range(epochs):\n",
    "        seed = seed + 1\n",
    "        minibatches = random_mini_batches(X_train, y_train, batch_size, seed)\n",
    "        for minibatch in minibatches:\n",
    "            # Select a minibatch\n",
    "            (batch_X, batch_Y) = minibatch\n",
    "            \n",
    "            # Forward propagation: [LINEAR -> RELU]*(L-1) -> LINEAR -> SIGMOID.\n",
    "            AL, caches = model_forward(batch_X, parameters, activation)\n",
    "\n",
    "            # Compute cost.\n",
    "            cost = compute_cost(AL, batch_Y)\n",
    "\n",
    "            # Backward propagation.\n",
    "            grads = model_backward(AL, batch_Y, caches, activation)\n",
    "            \n",
    "            # Update parameters.\n",
    "            parameters = update_parameters(parameters, grads, learning_rate)\n",
    "        \n",
    "        # Annealing the learning rate\n",
    "        if (i + 1) % 10 == 0:\n",
    "                learning_rate = learning_rate * 0.63\n",
    "        \n",
    "        # Record cost, accuracy\n",
    "        y_train_pred = predict(X_train, parameters, activation)\n",
    "        train_acc = np.sum((y_train_pred == y_train) / X_train.shape[1])\n",
    "        y_val_pred = predict(X_val, parameters, activation)\n",
    "        val_acc = np.sum((y_val_pred == y_val) / X_val.shape[1])\n",
    "        costs.append(cost)\n",
    "        train_accs.append(train_acc)\n",
    "        val_accs.append(val_acc)        \n",
    "        # Print the cost every 10 training example\n",
    "        if print_cost and (i + 1) % 10 == 0:\n",
    "            template = \"Cost after iteration {}: {}, Learning rate: {}, Accuracy on train data: {}, Accuracy on validation data: {}\"\n",
    "            print(template.format(i + 1, cost, learning_rate, train_acc, val_acc))\n",
    "            \n",
    "\n",
    "    return parameters, costs, train_accs, val_accs"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost after iteration 10: 0.41304647811217504, Learning rate: 0.0063, Accuracy on train data: 0.8711125000000003, Accuracy on validation data: 0.8702000000000002\n",
      "Cost after iteration 20: 0.16853531033519123, Learning rate: 0.003969, Accuracy on train data: 0.8709500000000002, Accuracy on validation data: 0.8711000000000003\n",
      "Cost after iteration 30: 0.465843157658125, Learning rate: 0.0025004700000000003, Accuracy on train data: 0.8710000000000004, Accuracy on validation data: 0.8707000000000004\n",
      "Cost after iteration 40: 0.25363812582952516, Learning rate: 0.0015752961000000002, Accuracy on train data: 0.8711375000000001, Accuracy on validation data: 0.8704000000000003\n",
      "Cost after iteration 50: 0.4055443561153964, Learning rate: 0.0009924365430000002, Accuracy on train data: 0.8708625000000003, Accuracy on validation data: 0.8704000000000003\n",
      "Cost after iteration 60: 0.23880607082033317, Learning rate: 0.0006252350220900001, Accuracy on train data: 0.8711375000000002, Accuracy on validation data: 0.8704000000000003\n",
      "Cost after iteration 70: 0.2631624177976171, Learning rate: 0.00039389806391670006, Accuracy on train data: 0.8709250000000003, Accuracy on validation data: 0.8704000000000003\n",
      "Cost after iteration 80: 0.27953232166104824, Learning rate: 0.000248155780267521, Accuracy on train data: 0.8712125000000002, Accuracy on validation data: 0.8704000000000003\n",
      "Cost after iteration 90: 0.3418109647466584, Learning rate: 0.00015633814156853823, Accuracy on train data: 0.8711375000000002, Accuracy on validation data: 0.8704000000000004\n",
      "Cost after iteration 100: 0.27487283046000893, Learning rate: 9.849302918817909e-05, Accuracy on train data: 0.8711250000000003, Accuracy on validation data: 0.8704000000000004\n"
     ]
    }
   ],
   "source": [
    "layers_dims = [2, 3, 1]\n",
    "parameters, costs, train_accs, val_accs = build_model(X_train, y_train, X_val, y_val, layers_dims, \n",
    "                                                      epochs=100, activation='relu', print_cost=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 864x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_cost_accuracy(costs, train_accs, val_accs)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "X_plot, y_plot = X_test[:, :1000].copy(), y_test[:, :1000].copy()\n",
    "plot_decision_boundary(lambda x: predict(x.T, parameters, 'relu'), X_plot, y_plot)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.8664000000000003"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "y_pred = predict(X_test, parameters, 'relu')\n",
    "test_acc = np.sum((y_pred == y_test) / X_test.shape[1])\n",
    "test_acc"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "def build_model2(X_train, y_train, X_val, y_val, layers_dims, \n",
    "                learning_rate=0.001, batch_size=32, epochs=100, activation='tanh', \n",
    "                print_cost=False):\n",
    "    seed = 10\n",
    "    # keep track of cost\n",
    "    costs = []  \n",
    "    train_accs = []\n",
    "    val_accs = []\n",
    "    # Parameters initialization.\n",
    "    parameters = initialize_parameters_deep(layers_dims)\n",
    "    # Loop (gradient descent)\n",
    "    for i in range(epochs):\n",
    "        seed = seed + 1\n",
    "        minibatches = random_mini_batches(X_train, y_train, batch_size, seed)\n",
    "        for minibatch in minibatches:\n",
    "            # Select a minibatch\n",
    "            (batch_X, batch_Y) = minibatch\n",
    "            \n",
    "            # Forward propagation: [LINEAR -> RELU]*(L-1) -> LINEAR -> SIGMOID.\n",
    "            AL, caches = model_forward(batch_X, parameters, activation)\n",
    "\n",
    "            # Compute cost.\n",
    "            cost = compute_cost(AL, batch_Y)\n",
    "\n",
    "            # Backward propagation.\n",
    "            grads = model_backward(AL, batch_Y, caches, activation)\n",
    "            \n",
    "            # Update parameters.\n",
    "            parameters = update_parameters(parameters, grads, learning_rate)\n",
    "        \n",
    "        # Record cost, accuracy\n",
    "        y_train_pred = predict(X_train, parameters, activation)\n",
    "        train_acc = np.sum((y_train_pred == y_train) / X_train.shape[1])\n",
    "        y_val_pred = predict(X_val, parameters, activation)\n",
    "        val_acc = np.sum((y_val_pred == y_val) / X_val.shape[1])\n",
    "        costs.append(cost)\n",
    "        train_accs.append(train_acc)\n",
    "        val_accs.append(val_acc)        \n",
    "        # Print the cost every 10 training example\n",
    "        if print_cost and (i + 1) % 10 == 0:\n",
    "            template = \"Cost after iteration {}: {}, Learning rate: {}, Accuracy on train data: {}, Accuracy on validation data: {}\"\n",
    "            print(template.format(i + 1, cost, learning_rate, train_acc, val_acc))\n",
    "            \n",
    "\n",
    "    return parameters, costs, train_accs, val_accs"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost after iteration 10: 0.5619083862418217, Learning rate: 0.0001, Accuracy on train data: 0.8108375000000002, Accuracy on validation data: 0.8153000000000002\n",
      "Cost after iteration 20: 0.33970093537231966, Learning rate: 0.0001, Accuracy on train data: 0.8231125000000001, Accuracy on validation data: 0.8251000000000002\n",
      "Cost after iteration 30: 0.47491778946423097, Learning rate: 0.0001, Accuracy on train data: 0.8338000000000003, Accuracy on validation data: 0.8340000000000003\n",
      "Cost after iteration 40: 0.33690627301903875, Learning rate: 0.0001, Accuracy on train data: 0.8427625000000003, Accuracy on validation data: 0.8437000000000003\n",
      "Cost after iteration 50: 0.45394985497221296, Learning rate: 0.0001, Accuracy on train data: 0.8496500000000002, Accuracy on validation data: 0.8508000000000002\n",
      "Cost after iteration 60: 0.2897336293143944, Learning rate: 0.0001, Accuracy on train data: 0.8553750000000002, Accuracy on validation data: 0.8567000000000002\n",
      "Cost after iteration 70: 0.3091370476389045, Learning rate: 0.0001, Accuracy on train data: 0.8598875000000001, Accuracy on validation data: 0.8602000000000002\n",
      "Cost after iteration 80: 0.31089692131314733, Learning rate: 0.0001, Accuracy on train data: 0.8629750000000003, Accuracy on validation data: 0.8635000000000004\n",
      "Cost after iteration 90: 0.3722786918382496, Learning rate: 0.0001, Accuracy on train data: 0.8659125000000004, Accuracy on validation data: 0.8660000000000002\n",
      "Cost after iteration 100: 0.3111734997675013, Learning rate: 0.0001, Accuracy on train data: 0.8673625000000001, Accuracy on validation data: 0.8674000000000002\n"
     ]
    }
   ],
   "source": [
    "parameters, costs, train_accs, val_accs = build_model2(X_train, y_train, X_val, y_val, layers_dims, learning_rate=0.0001,\n",
    "                                                      epochs=100, activation='relu', print_cost=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_cost_accuracy(costs, train_accs, val_accs)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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gsIPtbF53cb7cUOF1K9GoFWRcr7vkMv6O6jBdLqqwtuLSN+DgOMLifLkhOupa4/uN7i8RIR63IQ5zM6Vtran+oVDrnYZ9yb2Pu8R+6D6++zPvDDbswmrohBGKW5DlxTLFgjb4/8slZX62xOShyDW55uJ8mUKLz6QqDWsT6isba+1VYnQihOfDxbMFPO/KLYYdIVAs+GhE2kY7XUvyWY9YzMZzg2ZLobDglju73BwHRsbDxNpEkxn2Dw89cZJvHjnGP/yF0WDDZ67+NYxQ3IK0Ky+Rzfj4vrbty9CKqitmfc1DfaU7aZPscxrOoaqkNtpPsPOzJQ4djQYhntssSi8vlPG8zhbHVUcDi6sWgXWd2Vj3yWWLtYVssaA3abd1ucXiwoHDkSZXomqQ+e2WlWjMahuSbLj5eeiJk5tWwzUQhq0YobgFuZp34VsjjooLLukNj4NHIlvCXdufo5BXikWf6QvFbQWgtAftzsMRIRK1WF3pnMh3rSiXlFJJN3M/PFhbaf9GWXbgIrOsIJQ3HLFwXSpNm+ryTCRY84nGLIZHQ0Y4bmIeeuIkwHUVh3qMUNyCdPXYpFrcHUdjsitrolj0m9wfqsECcCbt090TuJREhGhMau1HW7E4V2qZs7DXOA5MHAzCS4PktesfRbRbYc+mN8e4uhz8n50QuFt1rqI9+VzQK+PQbRGToHcTcb2thk7sdYe7J4APAIuq+qYW+wX4ReB9QA74G6r64vUd5c3H0EiIXDZo3RlUVQ1+RitlIFSDO1gh6K/QLhoqn209aapCNuPVhAJgdDzMhbOtw0kTXUI2c4NkrxFEGlWTAl0Xzr1RJBQBuYZDDEegdIXRtp268DWJxBZUYWXJZXzS5FzcqDQIA+y5ONSz1xbFbxB0sPtUm/2PA8crPw8Cv1r5beiA4whHjkVJpzwKOZ9wROhJOti2kM/5zE5tuoAcRxg/GG5o7FPFdqS1n7wSRVVPJGrRP2CxutI4k1lW0OHt/Jkr8ymFwoLn6rYRUJFoMCF3ukuvzxyvUr7GKRNXEmZrWUHS4pVGfxXzJufiRmKv3Um7Ya9boX5VRA53OOSDwKcqfbKfEZGkiIyp6tx1GeBNjGUFJap7k5vbPFeZulhsqJVULitT54MSG1vdUokui1bGhgC9fXbDtnzOaxIJCCY312Vb19R2jB8IMXOpfT5BlWIBunosMqk2eRpy3SJfG7gSt9vVCg8OR0zOxV7z0BMn+bnym3jpyeQNLQxb2WuLYjsmgKm6x9OVbU1CISIfBT4KMBJq3Ytgv5PaaJ0foASluXu29HW2LGHyUJipC40T9OCIQyhU1zHOV6YvtrcY1lZcojGLQv7ybqstK1g/6OpuX6yvHu0ws9rO9m6am5l2kVIiMGByLvaEG2mt4XK50YWi1S1QyxtCVf0k8EmAO2LJG8chfgPhus1Z0xB0bnPd1m9ZOtX8nOUFl3jcrkXRbFeHKZO+slvi7t7gOgODIdIb3raRU9lM+323skgMDdsgQrEYhMjmc1rr8z0yZqKerhfXI6/henOjC8U0cKDu8SQwu0djuemJxW3E8lqW6Q61yNj2fWVtpbkmU7AwWmbiYJC8Vyq1FqCrxcaaz8Zagd4+i8Fhm4W5vcl3uJHp7rXoH2pcqK5289tNpJvh8rgVrIZO3OhC8STwMyLyaYJF7A2zPnH5JLosohGhUJ+1XWF2psyhcGOSVrmsleJLzeeq9lVQVSIRC5HdVXcNhcG2d7dusbHms7HzS+wrMimf6YtFxg+Ea8IgIi3XmAxXTlOpjFtQHOrZ6/DY3wUeAwZFZBr4l0AIQFU/AXyOIDT2DEF47Ef2ZqS3BiLC5OEI588UWsbcL8wFGdRVQk77ld9QGOamS6RTXi0EdzckumwKbQoDGnaPVkq5Ly+WGR4N14pCZtMelh00YwqZvhVXxL2Pu7zP+vubG25xcahnr6Oefmyb/Qr89HUazr7AsqStn76Q14aS25Yt9PY1N/ERoeID31wc363raS9qKl0plfqK15Y2FtxOUIWNNY+hEWV2ukQ2vekSXFlyGZ0I0dN7ozsRbhzufTwIVWsQh32K+dTsQ9olbrWyCoZHQ1iWsLbqon5gSfT02qws3XwT/ZVyXbw4V7jWoxoED2TSfsO5VGF+pkxXt23WLDpw7+Mu/+wH/noQvmqoYYRiH5Lsb+6YJhLkRjQXmqOhfpDv3ZzWwM3A4LDN8uKVvbehsLC0UGodBl1xT3V128079zFNLqUn924sNypGKPYhg0MhSsWg0mg17j6esGrNe+qZnymTTm1OXte6qqttB60/PU9Jrd9Yaxi7cT2VnTD5rh4i+SyR4vY9AQ7fFkHhioWiVOxskvhtuhDuJ+593OU7//iHN8NXDdtihGIfIpYwcTBCueRTKiqhiBAOW7jloPlQqahEYsE6RLpNhvO1wvehq9smnrAZHlXWV8ukNrwrrpN0pSjgiYWg2B0WZBQ4d9dbmTlyB+L7+JbFwMI0d774FHaHOh7hiOB77RPmrhahfdIRzxWb1XAvUa9Ij5ttthp+Ye/GdjNihGIfEwpbhCqh9/m8z9SFYlBxVGGv4lCrHefiCZu1FZfV5Z2F3XqWzev3vgPbLTN26TQ968sN+69kAlbAdRzeuPdh3vTyX6Gl9hP+7KETzBy+Hd92oOLhWRmZ5MybHuT2l7/W9nmnXysQiwuh8JUXD+xEpEVNr1uNb3cf5dmRe5GQRa5sU444LPrd0OalR3JlelbyOGWPYixEaiCGGzbuuXqMUOxzVJVc1md2qtQyEW8vKJd9VpbKrCztrECSb1m8cfLtLE4eBd9nYfIoh15/iUNnX9nVdTuJiT3Uy93Pf3XbteapY2/CdxpdeGo7LBw4yvFXnsFqU14kWD+4tm6hwWHnll7Ivvdxl/+p8FMMT6WwFCgF2hAuuAxPp5g/3LxAHUsVGZzLIJWUoVCpSCJdYu5wrxGLOoxQ7GNUlYXZwLVzXVqO7pBiAYqFnYmEazu8fu/DLE0cDTZYFr5lceGOexmdPltbH+j0+sQClLZ38wLI3MqOxlMOtW41qyJ4toPlX3lnJssCy95ZORLbBickDAyFGsrC38j4CIvRAXyEkcIKdpseIU3uJGBoJdVULl6AUNHDKXmNk78q/QvZQFTqjsVXkos5lie7r8rruRUwQrFPUFUKeSWb8bAs6O51cMt6w4nEbjnzpgc3RaIOS5W1oTFGp891fL4IDA2H6O61mb5Y5ErjU5OrC6wMTwazeR29Kws45avTvs/3d15RdnDYIdnfHKSQSXssL5Zxy0okGgQy3Ai1oBYiA3x+9J14YgNBJue7F77OoVxQkKGVONRjl73WAQci2K6PG7YRX0lsFIilS9gtFvcFiOZv4aJgl4ERin2Aqja0NBWB5UWXeJfcdCIhArGERamo+J5iu+Vg1twyMaOKvYPa3qqwOF+mVPSx7SvIdqtw9NsvsD4wiodTS1gJF3KcfOYL1ycPYwsL8y7RmN0gAhtrLgtz5dr/PpcNOuAdOBIhtodiURabz409SslurFn1+QOPMn0oiRfqbBFZro/jauvoNFVKUQfL8xm9sIHt+lja/r/t2XsvmjcS5t3YB+QyjS1Nq417sumbSyVEYGQsxIFDEW47EcUJCWNTp9v6/fsXZ3Z87vU1j1ybjn67IZHZ4K1feZKxi6dJbKwyvHCR+5/+E6y9UmSFtdVNwVRVlhbKTTcIqrC8sLd30RcSE2gLOfVdSGy0X+G3XB/L9Uku5bD85jMosD4URy2hZyVfEwloHe7sC6QGTKuCeoxFsQ/YaOdeusIb6HCk0pjoOswvlgWTh8LE4pt3ldGYRdf6Gre9+ixn3/QAUhMM5eQ3vtgxHPVaEstleG/2BeZPl7bttnc9KBX9IC9lw6NUbF+mvbCHHfAePvUx/u3fWaNvsXHNAIKPqdXCRRQqugzOZgiVNkvJtLPaMsmghlk8XWo6PwRP18qTUwMxsj2mZWw9Rij2Ae2+PJ10IhSG7VzqsZjFxnVKivN9mL5Y4vCxSK1p0sCgQzrlMXHxDYZnL7A2OIbtefQtz7a0MsSiZWTXbhLpqv22I1EotMmjC4WCsV7r5MSd4jjC2TcKm6HP7Y5rUWr+WvLz7/97mw/+aR4n3no6UoFCV+M6i3g+IxdTDRZEJz3un0uzNtKFton6UmBpootiPNz2mP2MEYp9QE/SrlV5rafTpFEuBRZDp5j+yxWJULjOCpHWk3crfD/IsRgeDe72whGLQ0cizEwVoVRieO5i7VgFFsaPkOtOMnbpNPFChttOhJm55FLI+/gKa4Nj9K4u7tjysCyId1nksz7FQvvjyjfYOmgu6+/oPVYfshmPRNe1iY5q6NnQAjfikO2NkNgo1u76fYFiPEQh5uAUPRBwHaF3JY9scTN1uiFKpMtEChts9EfpX8w1WBUKlKM2ha7WEWsGIxT7gnjCaqgCWy3nZFmdS3Jcq8Qvtxxce+xAmHBYOPfGzi+0tX9FJGpx9HiM9dUyy4sungduKMS5E29h9ugdoDB97G7eNvcidvE8Bw5bpFMez/a/meSF8zsWiWqORbte3Dcq/YMWay16mbeiXFZmLpUYmwxftVDaBquhTVnuahRSNOfihixWhxPEMyVElWxvlHLIYuLcBpYXFDqsCsJu7vsFsF0ftS2yPRESqc3PnOdYLE2YUNhOGKHYB4gII2Nhkn1+JTxW6OqxWVsps7p8/f0jQaFBWFt2Sfbv7iMYjbaeHpL9IXr7HKaiI/z56DvwnIqPWcDH4vnx+7n94gwxv0QsGeHCwbu459KllucSAScMBc/B9l2k0k60VR0lBQqxLizf21FNp51gO+DtLI2kI6MTIaJRi9XlnQuxKiwtlK9IKBrEYRvaRSGpFeSelPNl+ueKDVE3l1vuXRRCJY/VsS42BmJECi6eY1GMObtvqLLPMEKxj4hErYYSDv2DIVIb3p71kc5mfLKZ3eUWFIs+uaxHPNE8kYkIZ+IH8OzmvAF8j+n4GMczF8nbUQSYO3icRHoNu86sUsCNRPird/0gZTtEyCtz79IrDL72apNQbPQN8dp9j1KKxEAgnl7n7ue/TCzXoWl3B8JhYfxAiIvnr0K+hUB3j41IkJy3m3X9cqmxL8l2/N5//fBll+XuWcljl/2aENSsBR9A6V5vFrnLndJVoFxJuPPCNjmTeb1j9rrD3fcBv0hQFee/qeq/37L/MeB/AOcrm/5QVf/VdR3kLUKQcOdTKgWtS6MxC9sWjhyLsrrssrrc3Bv7RiSXVfK5EkMjDn0DzYJQzpUh2aLlnoJW8iriXrDAMHfoOP2LM/QvzSC+4lsWalm89MB7KTmVfuBOhBdH7mHQS3Lim0/XwlyLkRgvP/RevLpyHZmefr75jsd5+1/8Qe04ywosBLe8ffRTqaRMXbxKpVQqLhoRoafHZn1td5bj1IUS4wfCOE7rabnBariCstzxdKljjP5ORWE7K0MB37bIdZlopsthz4RCRGzgl4H3ANPAcyLypKp+e8uhT6nqB677AG8hPE+ZulAM7ogroU6xuMXEwaC/8uBwiJ6kzfkzxStunHM9UIWXnQMUtZehi2cJl4pEuxwODLgMzJzh0uhx/K0JeCKMrs1CDBz1OLn+HV5O3sGrD7yL7rVlelcXKIWjLI8dwncavxau5TA/foTjL3295hNamLwNf6sYWRauE2Z1eIKhpWlCjnDgSATPVS6e39l7ezVcTlXmZoqMH4jS3Wuzsd46RLpdfat8zmdmqsihI0FY6cOnPsZj//TquNbq2UmE0U5cTdLmuOpLK8QcVsa7wUQ0XRZ7aVE8AJxR1XMAIvJp4IPAVqEwXCELs2WKhWq2XfArn9vsrwyVPgU3gUgA+CI4xSJDr5+quY1K62XOb0CXv8KhN17i4u33gCqiiopw93NfIj/ew2o4wWBxjbeuvUrYL/NS8g4yyX7SyYHOfmrL4uUH3s2d33yaUKlAPtGN2s1fH99xOHPy7Ry98CVGQ1lEBN/XPSm4mE4pblmJxS1icYt8brM1qghEokJ3j83SQmt1ypRs/u07PkwmmYRrIBIA6WSEvi1RSJdLfbi3bNkWLnp4bawjw/bspVBMAFN1j6eBB1sc95CIvATMAv9IVXe/REsAACAASURBVF9tdTIR+SjwUYCRkMmqrKKqDY2HNrcH/ZWHR4Nj5qavTh2i3WLb7SOv2uU9WKoMLM023D1aqkFEF3DozClGps+yOjyB7Xn0L0xx6a77+OMDxxH18cXmWPoC37X8PPdsvIECv3b0h1pmBdezMTTGM+/5EJF8FjcUpiGErDZooRCN8+cn3sOHL/4xubUiy4tX0UzYJZmMR7LPYfJgmLU1l1TFBdWTtOnrdxBLSK17FFss1PuWRSybC4TiWo0vGSWSd0mkgs9fK4tAK1bPVhdVKwui1X9QAMtX+mfThFzFs4V0X4xiosVaFgTlX7zgOLPIHbCXQtHqP7D10/oicEhVMyLyPuCzwPFWJ1PVTwKfBLgjlrxJ7o2vLbmsx/pa+5Vq34fUhsvaiktpD3RCpL1I9CQtEl02c9M7X2mvdz9ECznGL50GwLMdMl29uNbmx/1s9yGGSmvcnTqLAOP5RWZjw6i08JjXC4IIxXgXqGJpcIeu1pZFUbEoSYizhR6s2dk9XfvRysXFEvoHQsRiFksLZdZWXPI5n9/64Z/ktq5Xuev5F3C2/DMs32dtaGjbazilMvF0ilxXN25kl2sAIqyMd+M6WXpWCy0n/mxXmHimsb1ru7e0k5uqK12ufUZi2TLrQ3HS/XU3lar0rOTpXc3XLrAxEAvKeexzwdhLoZgGDtQ9niSwGmqoaqru78+JyK+IyKCqNnalMTSxOFdkbXV7f8duJuKrTacJtJhXxiYclubL7KC2H0ClGLUgW6YRz3ZYG2hse+laDqd6T3B36iwAjyy/wH+f+B5csfEsp3FwbSaJ75/5S54dOMlcbLjpGF8sSrMbRNq8xkIkxvzB42S7ehm/dJq+lfmdvchdsjgX3Ag4IaFUUNyKFgiQTvv8tSd+g9NvuhvL9xsm2XLI4ZvvfCduuM1dN4Aqb3nqae56/kV8S7B8nzdOnuT5dz2Gbl0j2oZ8d5ietUKTAvgE6xip/hjda/laCXHPsfBsIVz0mtxW7cSi3h0lCsmlHJneCFopANi1VqB3Jd9wvt6VPGpJo6DsQ/ZSKJ4DjovIEWAG+FHgw/UHiMgosKCqKiIPEFifO2sMsI8pFv0dicSNQLsvdbWcxMCQw+J8Y0SWWhb5WIJIPotdV6pDLZv5yaOMTp9DJXAbqAgvP/juStOJRsp1FkZPOcN3LT7Hi313UrTDDBTWuJQYx7e2fEVUEZT3zj/NaGmVt6x/h4XoIL5stSqEUL61X1+BaDHP5Llvsz44yisPvIsDZ1/h8Bsvd3qrLptSKYioEhrfawFsVU6ceqXm1lHAs22eev/7mDpxnFChwH1ffYojr70OwIU7bueF73qEcjTKHS98kzuffxGnTslPvHyKciTCtx55R+dB+UrvSp6u9QKikE+EKEZsInUTf/WzkUgVawNfH4gRybs4rkcx5uCF7Jq1UYrarA3GGZlON12unT0QKbgUEoEVtFUkACwNthuh2CNU1RWRnwH+jCA89glVfVVE/m5l/yeADwE/JSIukAd+VPVmCOK89uRzHsuLLqWiEo4Kg0MhYvHg655J7Z1PfLe4Tgjb87DqFyNE6B8MPpq9fQ6+DytLbs0D1DdocfHIUVYvrTGwMA2AHwrxxj0PsThykPN3vZVwIYflexQS3YSkVYEnH8v3+erg/dyZOsfr3Yd5vecobmXCzybigdhsRYSjGxdq/REm8/M46lGiOSa/EO8ink01ba+e1fFcksvz9K4uMnXiHg7OnsbKXP1F4+2cJvUSKgRCHM3lEN/n8d/5ND3r67WggWOnXmFkeponP/KTvPnZZwltMfcc1+XOF17kW+98uKO7ZmgmTTRXrk3MiXQJzxY2+qJ0pUtYntbqOIlSszT6lvO1cYaLRXxLmK12o6tcb3Gyi6HpTNNrb3JrKSQXcyxNWNietuxNAZWChK3Wo/YRe5pHoaqfAz63Zdsn6v7+OPDx6z2uG51sxmPmUql2l+1mlKlskclD4Uoi2s3xgfYsi+kjd9KdWqV/aRZfgjyG9G1Hud0O6jaJCP2DIfoGHHwvSB4TEQYzb6D9MDMyzl8OPUApHAtcRoAbCuOGI6BKxCvyyPIL/OXw2/HECtYg1AeETLiL74SO8nr3YRBpsAp8sVv7xlQ513OI2cQoD668zO2ZC5xIneOV5Ikmq+XCnfdy1wtf7RhN5ngug3OXSA+NsNo/xmCmc6OldgSv6Or850PlMqNT0+S7uuhKpRoSEm3fJ55KM3n2HJF864JXoVKJcL5M93oRp+xTiIdI90XxneD9CRVcYtly0yRu+Yo6FrO39TE4kyKRbnaLtnpO32KOpQM9wfjKHj2rxR3XgAoXPSbObaAdPGVuyNrXIgEmM/umZHGudT+Bxbkyh4/Z9CTtHUXaOCFwbKFY1Ou+4KqAG4owc9vduOEIoWIBp1ykEO9morAIcxdZD3XzQvQY4ak5etYWiYTgQF+ZRF1W9pfHHiYfire+iAglO8TZxCQfmv4zTvUcZzY2zEaou5ZnoTXxaPMGqL8pAJW7SkXIOzGeHrqfsJY5mTrNd3qP4dYJhaiHO9BPuE3pjyo+ghsKob5ily+/uJZvWQ1uuJ3SyvXn2japviT9i0vYLSochsplJs5Osz4wyMDiQtP+dG+Skal0rQ91uODSvV5g7nASL2QRa5ONbylE8i5pqpnZ2yMEC9OW56MiQTkQb7v4tcbn0+F6vsDqSGKHZ7t1MY2LbjJUlVKp9cRTDXEMhSx6+7b/17rlIEwy2X/9Sxn4YvHiI+8P7vyBciRKvqsXG5+D2RnSTpw/7X2Q0eefY2jmPNFcFtnIMnXJJbUeiOB6qIdiq3IddajYnO06xDeTd/LwyreIewX8rVFK0PKO0VKf3lIGUb+l68G1HL7RfxKA9899hZ5yGsv3sNRjIrfIB2a/3NR4r2l8lsX8gWOI59M7P9u8v/PTa9i+f3n1j1qNSYTT95wk1ZfEDTW/v57t4DkJzt9+P67t1DpaK+A6DmfvfgCrrnifpYH7pmclB0Ak1/omJlgfCZ6V7Y3sKq0nsZanbz6zK5FohxIIRCHqsDTZQ8FkcxuL4makXX6BXTf/jY5HSCRc5ufKHev8LM67DI9dW6GorCs39Hm21Wf84utcOnGyVpvJ9l0Sbo470uf5+sC9HHj9JSx3i4vC95lZtHjqjkeIeYVtcx+qAzjbdZDeUiqYfHbob1YR3rzxOuP5Bf7g4OP4LdYhNkLd/N6Bx+krpXjf7FcIqYetHhE/uBPv7rUpFprLoyjgWzbn7rqPcjjCya//ecsueEKQYKgiHS2Gq+UYUeC5xx4l193NpePHeNuXvozjurWx+SJ4TojlsYP4tsOL73yc8Yuv0ru6zMZAP6888CDhQqxl86F4pswawf+w3XiLsWBKynWHUaEW5dQJAZIrhZoFczVI90VZHzaWRBUjFDcRqQ2XhdlmtxME8151ARiCzOvVFXdHxeAW565tBdlq69WtHDp9ioG1BRbvuYeCHeFIZpq7UmcJqcdCdJA7Vp9vafKqpyxavbjxEXysHU38ruVwKnk7JSu8M39zJYHvGwP3ogKO71GyW1sinjisRJL80fh38+FLf4JVdy+c7HNIrXuUtrj3egdClA6OcSw1w7E/f74ppHfLRUj3DNC7vnRdVp+WJieAIMv8cz/+YR7+0z9j9FKQG7sxMMJ37n0nfiUrPdc7wDcfeQ+rY11A0JZ08uxay/NWrYVCV5hIId8yga4QD4HvE82W8av1qrYZr8KuRKLe3day7IdQi4QyBBihuEko5H3mZ1qLBEDfgEPfQPDvLBR8pi4Ub5gif+3qCQF0LS9y27e/RLK/0cXRW05TikQJl5oXTAXFDYU3F5/VJ+S7uGKh1emnhRgU7F00pqmYQeXK+SzfxfHdhqS9elQsSnaYmdgwB/KbfnvLEg4diZBOeWQyPo4TiEc4YkFpifWcy2zUxi60X1Oy1Mfyvcsur71TqsFF9ZZNtqeHL/zID5FYyzI4l4Etr19prNfkOxaFWIhortES9IVaiGmmL0r3egFxtWnCHp5OEy5u3rjsdq1hu9cHm4KlluBbQqjkNTRKKsRDFNp029uvdHw3RKQHGFLVs1u2n1TVaxP0bWjJ2mrr6q4iMHk4TLyul/TKYntB2RMkaA9aLgXhsGtD44DStziL47kszrt09zrY9ubX/S3rr/G1Y3dz/OVvYNdVyvMsm8WJw/h1VVsFuH/lZRajQyTcHGe6D5F3tsS9qwZuqsuMXvHFZjw3RyaUYCPU3TKD20V4rec28naUo9lpHA0mPLGEnqRDT6USRvRLP8hvvhHlpSeThAoFPvSJX2vh1Ko7r+1ged41tyaqd+8f+M3fJtWX5MXvepRLJ4JCCPnuGLrQnDmtApneRgFenuhiaDpNuODW0uXTfdFaH2rftlic6GHs4kbDtSGIQtrN69ztxzzbHcIL2WR6o7iRILItni7RtV4EgkZJ2Z4dWp37CGmXliAiPwz8F2ARCAF/Q1Wfq+x7UVXvu26j3CV3xJL6xLH2LRdvRqYuFMllm33UlgVjk2G6ujenmnNvFCiXd/kVqtY2uEYMjTi8ak/wnXsfCRaHCdYA7nzxqwwvTjE20dxV7VJ8jDc2Eoyffa1yp+uzNHaI1+99R831ASDqY6mPEIhBUB9oM6qpoRLelaDK3zz/Gc4nDvDU0H24VqhpP4Djuzjq8QOzX6S3HMTzd+rZMDg7y2OffZJ4Jts0SXqWTT7eRTybbsw12Tq0LY+vxjTn2jZff+/3sDYyQs9SFrW6GnpUKODawuzx/pbPd4oejutTCltECh6JVAEQMr0RnLLXshjgbq2mdse3+igrQfROtX7U6kiCbDK6i6vd2nzlP7z/BVV9a6t9nYTiW8DjqjpXyYr+FPDzqvqHIvJNVX3LtRvylXErCsXqctDqc+u/SwSOnog29A2Yvlgkm9l5qGS1h/W1tEJKsTjPvOsHGyZ4AMtzefiLf0DsYJLXDt5D0QpzNDPF3amzhNRFgRwhKJZ5vf84Lw6frOVLAIFLRqTpDt/2XZKlFCuRZMus7MtCle9afJZj2Ut8ZvK9bDhdzXWeKoiANQrnegd2fO4f/cWPE6kU3fIsi0Ksi8WJw6wOT/KWv/p8R6FoOFV1DDu7ckd8EXzbBgXPCfHqWx8jNTCyeS2B6dv6ajkSzYNRBuYyQd+JOvdOMeYQybtXpWpsw+Uqv8thi7WhOLGci132iGXKTWsivsD0sb7AdWYsiI5C0ekbZKvqHICqPgt8N/DPReTvc03vPQ2t6O1zsLd0bBSBvv6gi9nqcpnpi0UW5kr0JO1dfe4nDkQYGrm2PtmFscOtPzSqzE8c4cvH3sV0fIyl6ADP97+pVndJgARlEhG4N3uGw9kZbN8j5JVwfJeecgbLb/bve2KRc2JXTyQqPD10P08P3sfjs18l6revpKgK7lzQ6nNHiPDtt92PW+mFYfs+tu9RisYpRSPs9it3taY9SxXHdXE8l0gxz8lnvoCzk2bqqiTWC4yfWyeRKjUIQjVfotVLutKJJYgSg7kjSQrdEdYqORAtPwUKk2fWOPj6KqPn14nk9q7u2Y1Op9khLSK3VdcnKpbFYwQVXO++HoMzbGLbwuGjUVZXymRSPpYN/QMhonHhwpkCnrdpEWysefT22ayvto5msqwgVDUcCUpl2G2SkK8mnu209OurWEwfvouysxll4lkO6VCCN7oOcVd6M1PZQvmexWdIOQlWw710uTmeGrwfz+ppvqBY+J1Eol2kVKcIqkqE0+muw8zFhglHfPJXMWDs1ENvpyuV4ui3v4Pn2DilAo67wel73s7A/F0cf+XVHQnAtbw3FlWGZ84ze+QOFCiF7ZbWRHIpR/daoa3FILq5eF6/oL0bWkYsEQhRqOhRjgbTm4q0LUleDb+NFD2Gp1IsTvZQijm1BXrxlcRGgXDRoxS2g/wOe/+ln3USip8CLBG5q9p1TlXTlfalP3pdRmdowHaEoZEwQ5uWPwtzpabqqqqQWm8/g8XiFvm8T7mkzM8Ed1FXy/IWCTK+y1tutgcWprl0/GRT5zkRcKPNfmLXcriUGG8Qiio9bpYeN8tzybtZiva3HLzjlzmaucQb3UcaXFXAtmKwXeVY37JZt7tRP7hTbecjL0Vt/F1MKmpZfO3x7+PFRx+he22ddDJJoSu4I/76499LqFzi8OunG4e747M3jq3VBLuTbZbvES7ma37+5fHupvNbnt9RJKpsDX29Gstk1XOMXkoxfVsSta2gBEebYxseK4xMpUAg2x1mYyDOyKUNLF+xNLBUkit55g9VakvtI9p+ilX1JVU9Dfy+iPwTCYgB/wn4e+2eZ7i+ZNKtXRt+h1XBbMbH9xrnw8u1KESCRL94l5DoshidCDF5MNw0v3anVhmZPoPju5XECh/HdzmUnWk5Z4vvE3c3C+RV7z6DsSqZtMdLyTva9o84lJ3h4eVvMVhcJ1RJfqsmdDi6XXkTZaiwzFh+AdqE01sK9pbY/eoYfcC3heWx5kl0JxQSCZYmJ2oiMTQzw3t/7/9jdGqGxfExXn77g/gil205tBrzVtpt92yH9YFRFJg73BtEDm0hVPRaF1TsMI76bZ3G1GqMrRbyxVeSS0EmeDy9s2YrVeESDZ4zcikoB1IVvGqGef98Zkfnu5XYiWP6QeA/AF8DuoHfAbapIWy4XnQqEdEpf+FqoRpYEKOjYZyw1KJiRsYc5mcbJ+TbTz3D3f4MU4NHADiRvsBoYYnfPfh+XLEbJn0Ln7tTZ8jZUZ4avJ+LiXEAJrNz3Pbi19BMCe+e9nd1jy69gIPPX5v9Sy7Fx5iKj5Jw85xIX+B8YpJnB062zYlALBZiQ8GsUWqd9NVOh3Nxh3xvhFx3ZNt+0OL5dG0UieRdShGbTDLa5MYZvXiJd3/mv9dKecdyOQYWFq9a7Z3GXAfBFyHb28PLb3+QQ6fPMHbxIqFycG3Pdkj1DbE6NMracBw30vr98yWYqLdSv8W3wG6zfNPuvW2ybmhvgQjQvV6kHLYJlXdf3sRSkBblQASI5twdZ/ffKuxEKMoEJb5jQBQ4r7oXHYANrUj22yzNN0dDxeMWPb0287PXfoGuWIBzZ4rYNgyOOCT7Qvh+C6FScF+d4v7Jebq67ZqofGD2y3x+7BEyTqKWofzI0nMkSyk+ffB9ZJ14TUSmEmMsvO193PfVP+7wZVXCFavBQjmcm+VwLqijtBxOci4xEXR+6xA2a1XG24pOIZyxnEsxEdpWJGzXZ+LMSlAx1bJJpHx6K26Nqm8d4G1/+eWGfg8AjufVqsXudFw72W+pkk4m+ezf/psAnL/7Lm575VWOv3wKy/OZuu12Ltx+J7neWFvXi132GJlOt71ONUTV8ncuCJ3Y7tje5dxNUkv5xmYnQvEc8D+AtwEDwH8VkQ+p6oeu6cgMOyLZ51DMK6kNL5iYgXBIGJsMMz9z+f1NL8ca8bygo5qIsLHutX6+Bl31Et0e45NhRIReN8sPT32etVAPJSvEUHENG59ziQmKdqTRvSQWrhNmfXCUcDFPKbalHo8qw4XWva3OJA7wxZGHai+wfnhXY3KqWh59S3lUIJuMoZZgl32SS1nimXItQW1gdgE33L0ZXisWlq8MzqaZO9pXO2dyuXUzx60ZzTvNP9juuFBdT1y1LM6cfDNnTr55B2cO6FvMYW25E69/n6v/ya3j38rVeC1CIEg7OU+ra7Zbe8p177+EvJ0Ixd9S1ecrf88DHxSRn7iGYzLsAhFhdCLMwJBPoaCEQkIkGpS2LhR2b/iJwMTBMKGwkMv6LUuad0IVVhZdWpVFqj8mm/bJ5/xK/4zgS9lfbmzysxHqrjUSqsd3HPJdvZx4+eu8+tbHgsm2omyiPo8uv9D0nIdPfYxf/6EpKG9+wa9ljmH/Yp7kcoGFyR6GZ1INVU37FtbBijb7DSVo7SmeX4usKcTjxLPZpvNL3e/dJKl1Os6zhKljR3d4ptbEsqWWE26nMfpCU1e7eloJ+k7+b9UFd9UO16a1a7HpPAAWuI7N6uj+Kxa4rVDUiUT9tt+6GhevRFD9IkGHu/+mqv9+y36p7H8fkCPIDn/xalz7ViMUtiqJc8rFc8WmInStsKzgx7YBESIRi75Bh2g0mKTSG22sgm0ol5X+QYdiC5dYFVVYX3NrQtGKvlIKRz3KW5PpPJdEao2e9WUs38Or3ZULliqv9hzj0eUXiH7pB/mHvxD0yrY+lmGy3LwAfC3uC6vntHxleCZV69RWJbm6RLpdIt4Wd9pLD72D3uUs+e4kA3OXOHTm1GW/hnZ3yEJQHrwUifDSOx7e4dlaEyxi7+5DszYUpytVxHIV221eT+i0wL0d1XLn9QLkA+WIjRu2wFPibcqeV1GCnt6ZZDSoAbXPrAnYw6KAImIDvwy8B5gGnhORJ6uhuBUeB45Xfh4EfrXy29CGmakixcLOvlKq4HrBD6qUyx75vE/fgE1Pr83K8uW3VPU8JZYQcpn2Y8m2idiqcjA3R9zNk3asWg8JSz3C5QJDC1OcP3FPsL3ui+tZDq8mj/GF+9+G9wubAqN78N0WaNkfoRyOMnrpNDNH78Z36kqReB6RfAq1hgAI58vkE+MUY4F4uHaIA+e+jb2TksC7wAdK4RDp3h5u/+a3+M59b6GQ2OVdsyp9C1ksT3ddhiPfHcYL2dhln/7FZusJ2gcUtLvW1u1VsfAtYXm8q9ZjYuzs2vZjFVgbTuC1CbPdD+zlK38AOKOq51S1BHwa+OCWYz4IfEoDngGSIjJ2vQd6s1Au+TsWCaisQdTdqvkelEvK0rzL/Gz5iu62V5Y8UBgaaW8x+D5oi+iYKhbKD8x8kWOZi0H9JN/laGaKH1r4IkeOhMiNjqJ2872OihAqNoqcOjae07mYd8PxHba3C8vc6bnSyUFGps7SuzKP5brY5TK2WyaWTVGK2AzMphmc3mD83HLgkqkIYb4nST7RzdWMJBGCSSCWyzMyO8fdzz7PB3/9N0hsNPf67kTPSp6ujWJbN06nz9L4uXUG5tL0LbUWiU7sdm1J0IZGRO3CeGthzgIrY137WiRgb8uMTwBTdY+nabYWWh0zAcxtPZmIfBT4KMBIKLZ1977Aqzpcr9DxrgqZlH9FFrYq5HNK34ANtL8D9nxoVyYIIOqX+O6l5/jupec2t1VcSv1zmdrkVI+o4oaaBWr+YC/j59dr78+VCKFvCZ4jhEqN0/bWRdyWd7sinHr7ezj5jb/Ac0JkevqI5jLMTx4l23Oc7vUCb/76n/Hyw9/X9NxXHng393zt89heCctTbM/tGGG008io6jbH87B8n/u++hRPff/725y5gq+Eix6+LfSsbp9g12p8UFmf0MZtV0rbNYkt60L5rhDh1dYVa9P9UTYGYvsyE3sreykU7SzG3R4TbFT9JPBJCIoCXtnQbk4iEblqC7SWBbbTnGG9G5TAQrHtICKq5TV2kOAa/dIPAtTWG/iF4FeqP0oiVWzoguYDpZjTMnzTC9vMHexh/GJqW5FotwBbv/6AG/Q22Ope6vT+V/cVEt08990/EJzT94NFVyuobTU4f4nu9RUsz20op775vA/ihgoMz6xw6PQpEqm1tt3xqgRJgDbZ7i561je2DZMdv3ChcZvr07VRwC77FOMhnEKZ5Gqx5tLbSSe6TuPrtG03z4fO7qhUX2NJ9HR/jJ61QsP4FfAcYX0ovi/XI1qxl0IxDRyoezwJbG0avJNjDBVEhOGxUNsueLtBFUbHwyzOlSmVtBYua9s0lQxphyXghITxA2GmLmxRHIHh0VBD2ep66heiq8KwFTcS9DTun8/guMGdfb4rzEqHqJREZmfKp3W/201ooor4rcVkuzt3hdokpLbdIC4D85cIeS5DsxdYOHCscbLS4Mwb/UNADxsDY7zp2S/Ss9a++50vwtzBAzz3Pe8i3dvLj3z8VwlXwmDz8W7mDhzDDYUZWJymf3EmyDOMRLBcl/u/8hTHXz6FUy6z0T/M6ZMPkelOQiUzXK6yJVA913ZRSJ1EotPzqs2TqviOxcLBHgZnM7WF9FLYZnmi24hEHXspFM8Bx0XkCDBDUD/qw1uOeRL4GRH5NIFbaqNa0dbQmt6kQyRisbri4paVeFxYXdl99FI0ZhFP2By6zaJYVDxXicYsfE+5dL7YUISwHSLQ1WUhlnDoaISlhVIthHdwONTQQ+OhJ07yzSPHthWHrRQSIWaPJoNFVEu2TXTbae2laz1FtBMXCBa7ZyePsTjRIlS1kv/hlAMTrRyJ8s1H3s/Jv/pTkisLLRcdPdvm4u23k0r2IQpPP/69PPonf8rSyAFO3/OOyvtmM3/wGMmVBe548Su8dv99PPbZJxm7eAmnYg72ri5y31f+iL96/MeaLJ368e/mvdvpYvTWa7U6fif7LU/xncYjSrHgM+SUfVRk369HtGLPhEJVXRH5GeDPCMJjn1DVV0Xk71b2fwL4HEFo7BmC8NiP7NV4byaiMYvxyWDBLp/zWFvdvVCIKKqKiBCNbn6xbFs4eiLK4ny5bXVagEhUgoS6ysQdjVkcONxY/K/BavjM7sa3ZbBNX/4aW7Kvsz0R+hZzV3CxustqsNi59TZ2t1E/tfNVfs8ePEEx0YW28cupE8K3bcoRJZ7KcvKZv6Artdb22qJKITrIgdNrIOA6Q3z+Rz5M1wYNuRy+E2J9YIQLd5xk4vRFxqcuNLi0hKB5VDyzQSY5eBmvcMvrqPvdymW6W+HpdFx1X3Ixy2qLQoaI7LtCf7thTxvDqurnCMSgftsn6v5W4Kev97huZnxfyWUDEzqWsLAd2VYkQiFp6oiXyypnXy8wfrCxzSoELq7uHjvIvm4RgtM/YDM02lxN797HXb7zj39411bD5SCeT/9ClkS6BBr0QV4dTeCGbVaHY/Qt5huS1i4XS5vDNK/UGsn3JJEOIbBK4PLK9ER465f/hO6NlYYJcGbjPgAAHmpJREFUvTYBi+BbFudvfwtCJBiXQqjsY5ct1Goeq++EyMf7OHHqhZZuHAEGFqbI9PS3LDS22zWGTutAu7m32cl1BehKlYhlVvAdm1R/lGxvxLiYdoDpIH4LkUl7zE6XGr5oE5NhIlGhkG/+2sUTFv2DDtOXWvvtPQ+mL5Q4eCRCNNY4KcTiFiFHKJUaz2tZ0De46ZZ4+NTHeHH5/HURhxqqjFxKEarrvxzNlRm9uMHM0WRTMbvLcZlczvG7oV3nPK1cuWujSKSQJbm82LSQLUAuFmP6tttZHzxIrqe/5WTcbvy2W64d04rJc68xe+h2ytF40zl3y9Zch637rkVUiuMDJY/+hSyhosf6yP7LtN4tRihuEVxXmZ0qBZW067bPTJU4dDTCwlyJQl5r9aCGRxyS/SHcsnb8QqoG/bonD0WIxoRsxg96XQgMDP//7d15jCT3ddjx76vq6run59z7lLSiKCkkZcmEKEXQYUqgGMeKBCmwkDgC4oB/WIaTIAjMWAgQB/nDjoEAAWIgZhIlBizFUaAQUkJaFCU4YhxHZ0KKpChS0pLU7s7Ozl5z9ExfVfXyR3X3dk9X1/QcPT07+z4AOdPd1dWvZnbqVf2O90uxfNNnfS16dyYrPPTtv8f0PYf5wKOtEuGPVoEjozvwGJmqj9cIetrrBZBQKS7VmLxW3fUJRHtxTdqd0ARI1+vIgNtFr9nk4pvuG1jraGD7v9+kuHKTar5Ibj2+nHaq2eDuH/wvfvieD9NeQXC7yXYzw+5v2Oa+7m0chYmlGiuzuS2tG3InskRxQKwuD26qWF8POXU2S7MREgTRynZOq+/ATUUjk5qNwdduYRgli3zBYX0t7DRlVVYCJiZdfu3qP+ah31nDT6d57IvAF6sD97UXvMaAlf0UcmvN0V2qbsGgOQ49r0vvc9V8iumr1wm8LL6XYb1UHpgoUr6PBCFbWgo2DMFxufCmt/PzN99DbnWJd/zvr/XN1Qhdl9ffch/R9LXkuSOjSiBxttM3FEq0fkY9b4kiiSWKAyIM42s7qUIYRC94aQdvw+siUaXZC6/VY/sbuvezVgn7nru+Knzys/P4c3M7PILd0xzQKRkK+CmHTOyre0i75l20h8jSm7+uHiuSqVdI1wKqxQmOvfoy73vyW0ioOBqyeOwMr9z7HkJxcGN+ce0mqtiPH/gKqOMQOFH/0lp5hm8/+Ene+cx/j1a1EwdR5fxbfoHlmcM9n7BZf8N2bOXEP+yQ2f6OfgiSZnwawBLFgVEouly/2l+ETyR6LUku5/CGc1kuvFqjkTDNIPZEEIYcP/8aS/soUdRzqWjBmkbQU5VUHWF5Lh91cG8wzElpu6OZeneiTC1eYvbSq1w891eoFsudOQnQPuEqb3zxVe799lOIQj2bJVOtdoapNtIZ/FSamcuv8/Nzb+fUT57H7frFN12Pa4dPoDGr4CnQ8ASvqf3NbzHVbP1Mlu88+EnK1xZwgybLM0cIvPhl/7b789s4GGA7kpJELZ9iZSrH3Pxq7+RMif6t2GinzVmiOCBSCaObMtnkP8EwVC5fbNBMWONo0B+zOg5+euN9ypiJcOXUBFOL69HMbaBa8LhxuEDgudw4XGD6ytqtyWIC9axLqhmS8gdfi+9G80lmvcKpnzzP8+9+MConETPiRhDWJqY7K8u5lUrns68dPsGP3vkBQFFxUMehmi/x5ue/w3qxzCv3vofKxBSIDO6HcRyQILH8dm9AwvLcUdAtNmX1HddgDQ9WZ/JMXqvhBCG1fLT4U77S2LQ0SPe/y43fq8CNI0X81iS66YVKZ72MasHj+tHito/nTmKJ4oBYXho8XXqtEvZMboNoNFLbX372z6j/x+foXrhwY1II3Ki8RFwtjtfuevM2ox4ddR1uHC1yI+ZEsDaZpZ7zKKzUcEJYL6apt8pHO82A4+eXtlWSYhjNbC5qMkolJ9dUV+2U9u8hcBx+9M7391ScBVg8+SYq5RmqpXK0yNOG5qxuUSd40LPf4Y2mp0GATBPSC+ud5JZfa6KOUClnKKw0opIpAyLYOHKq/aurFjyWDuU7dwzVYppLb5zC9ZXQEdS1YbHDskRxQGycB9Hm5Dz+61vez0/uu6f3hUdvdTj/rX/3XN9ym+0/OBWhUi7z3Qc/hOP7vO+JJzsrzokq3/qVX6ae7x0meTvwMy7Lc/3DIkPP5fqRArOXo0qmu30qUYVqcSJxG8dvcuL8j3qeU6BajO+8VhHWy9N9z28n9sQmoJi7n93qrN44XFcAQkUULr55mtxKndmFCjJE6VwB6hmXqydjfs4iBJ4liK2yRHEb6b4LAG4NQQXOvvgSD3z9abwN7Uf1hnLtWEJldlXcuIp9RCegL/zD3+q5gv3Smd/g6OuvoyJcPn2KwNtnzU47FSqlpXpP5/JunlYGzbbuvI4yN/8ap376Qu/z4lDzsgPetb1SGIP246ek0wTXLWmU1igIkKlG/56rpTThFUHoX99jIyVamMjsHksU+8ADn78H+cUPdx73TFDr9ujgYaev33WOe779HYpLS51Oz2YqxfzZM9w8lNDRLMKVE8c5dOFiT5t2CCycOtnXzOGnPS6ce9MQR3V7mrheJV3ze34W7RNi4IAbUwRwK+I6mHsJx15/hdBxOgsUBa7Lzdlj3Jw90lcmO9onBAJe62p7anGe46/+CK9R59qRk8yfvZug1dS1WdE8AVxfWc+nqBfTOIGSqvsUKv0dWKO+Lle4VS5ehIXTExw/v7z5+wRWZu7MpQZGRXSnZUb3obfkJvXzb/qr4w6D+z7qk/+Xv93z3AcSTvY75dXrvO073+MNL/2YIOXy8n338vI77kNjTi7dyteu8/CffBEnCEgFAb7rEqZSPPG3P83KzIAlO28jjh8ycaNKdq1JkHJYmcnhey7la+vk1pqErrAyFZVzOP6zpU4l2m4K3DiUY7qr9MdWbXZ1f6twnc+J8z/iyMXzUeXX02/m8um7Yn+P7VE9mfUouZ34yfOcfeXZzl1i4LjUcwV+8P6/3kkWw8SjwLUj0apuhy+sxt5N7EWiuHKiRL1roaH8co2Zy2v9ibx1+9dMR2ta1/MH7E53D3zr9//aD1T1XXGvWaLYpo13ATDaJDBq2coad/2/Z5m5coXrRw7z8n33USvevqUNvJpPqhkSuMKhS6tIEA0HbY+EgWgMfftkFwqsljMUV+q4Me3gCqxMpplYaowsUbS3YYjturdv79dr1nngqS/1LZUaOC7n7/4FLr3xbT3Ph60P6v45dGu2Ci2m/M2be4aJczuT4a4dK1Itdc18UaWwXGfiZrQ2RiPjsnQoTyObij5kk+rBZrCkRGFNTzEe+Hxvx+8HvxyTdL4MfPn2TQwb1YoFnnvfe8cdxo5JEHLowirpuo8KnRIW3fMURPtPXFE5hzow+KS2kyTRHcNm2wwsp7JhH507kNbX4s1r0V3HhkThhgGzCxf6EkX3zyJO0lDhrRjmTmpgSZGupJ2tNJi5XMEJo8RVy3tcO1a8VX7DcsTI3FGJYqgEADsreW3GamZh7VYfQ8LN8sAT0xafH1WJikElPlSITYAAfjpD3GQaBRrZ/jZ72fB12DiGNezPpn1ccfMlaoWoCcmr+cxdWu3ZJrvW5NCFVRbOlLcZoRnWgUwUzl2T/M5Dv9H/giWAgy1U8qvDXfXvVrmJpDuA7Rh016DA4skSjaxHuu5TWK5RWu6dYV4pz1DP5XEqqzhdUYWuy6Wzd285jlo+RXa9f37OsE1ooUPsCoAbSesNG8uYrE5mCVvlNUoblittv8+r+3h1n2bmQJ7K9o0DWeTkwhXryLoTDTtJLm6zzd6a9PqwiWkYccmr/d/0lTUQqOc9qsV0/z5F+OG7P0K1VCZwU/gpj8BN8dO33c/K9KEhI4j6LgJXcGM69eNiHLTNMEmisy29dzgClJbrSGuindcIYvelEsXpNgJmLq1y4pUbHP/ZTUo3qrF3V2Z7xpKGRWQa+C/AGeA14G+q6s2Y7V4DVoEA8Ad1tBgDoK7QTLukN1SP7VyVOwKqNDIuKT/E3dBJmzQXYS8kttUDqWZIYalGZToXJQrpT471fJHvfeBjFFaXSDUbrJZn+oY4J32WAo2Mg4qQrcWfnIe18+Y4JVdpsD6RoVbwoibFDcfrqOK7DkdfW+70XRAqk1fX8epB7Mx8s3XjuqN4FPimqp4Dvtl6PMgHVfU+SxJmGNePFgjl1sk9FAhdYf5smSsnS8yfnaQylevU+2nrjH7i1kgipV1xVoZKFt3v22iYpprNtnEU8pVWc5MI1ULMXUXrtbWJKZZnDscmiaR4BMjUwx0nibYdJVmN1riGqBlKnd7fQyiwOpmhsNpAtPf36SjRCLbm4PL7ZnjjShQfA/649f0fA39jTHGYA6aR85g/O8nKdJb1gsfyTI75s9Gqdo2cR5B2ya7FF5pTgbVymqXZHFdOlKjlo5Os5ycv7rTRoCv13Wi+Std8nFaT0Mrs5pPKNvvcQbHsxkin9r4GvTaM9u8gTDlcPjNJZTKDnxIamai4481DBTLrzQG/T8GrW6LYDePqATqsqpcBVPWyiAxqQFXg6yKiwB+p6mODdigijwCPAGQm9k/Ja7P3grTL0qHBc0D8lBN/BS+0mjnS5JfrZKq3mjqGbWtPeq37pL3djnMnhNn5CounJmhkUzS8qKDeduPars0m6w363I0d1oOa/kKBtYlMz7K1gedw40h/U1Iz45Kt+v2fp3prZrfZkZElChH5BvFrYH5uC7t5r6rOtxLJ0yLyY1V9Jm7DVhJ5DKB09Jz1YplYEoRkavEjeULHodaa0VtYrW9a3rr9Phg+kfguOMHwdxBxndvZapP8Uo3pq+s4m1wwt0/KW5nAl5QAun8kSYkgKZ7uuLr3V8+lUBR1HCqTGarF/nUv3GaAVw/wPRe/Vc9pdTpHcbneu9YE0MimOtuYnRlZolDVBwe9JiJXRORo627iKLA4YB/zra+LIvI4cD8QmyiMGcbcpVUy637flazvOSyenKBdITV0+pf5jLPVq/XNTuzdMYUC7oAhWrMLa0N/9m6NymrvZ63kUViNv43Zys9DiE7oN44UovIbWTeaYR1TpRZVphfWKK7UUWkNSsilWDxewk+7LJ6cYOZyhVQzGmpVLaa5fuT2rSyw34yrj+KrwGda338G+MrGDUSkICKl9vfAR4AXNm5nzLBSjSBqTop5rZF1e1Y6q0xmO6U+dlMz48SeB+P4aWfgCXw3Q1Ngvehx41B+04QhQH61SbhbZw6Jhv1OX13j8M9XOHZ+iVTMmuelG7VoESoFJ1QchXTVZ2YhKgdfz3vMv2GSi+emuHBummvHS6h7IEf/j8W4fpK/B3xYRH4CfLj1GBE5JiJPtrY5DPyFiDwHfBd4QlW/NpZozYHg+mHs1aoAqUbvnIF63mNlJtcZQZU0omkQ3fB9KHDzcJGGNzgBdMfkNcLO+9r72MlM6STXTkxQmc7RyKaGii2U4UaCJdHW/xyN+l4cjYYAz11c6ZsDMXGzFjM0tjUKLGx3JAmh60TDoM2uGktntqpeB34p5vl54OHW9+eBe/c4NHOANTLuwBIX7VIR3ZZn81TKWbJrjdakLp+Ur2Sr/eP5N+4vBHCks9BQPRt1sPuei7dhrYdB/RyO3ipWmK4PvhvaqXru1mlg8WSJY+eXcIPBhQAFcEOlkXZIN8ItJa5OspWoeS8V9P4s2vNFvHpAM3srrvbEu7gdOqpsLQqzVTbv3dwx1HVYmc4xcaPaOdFHndjC6nT8UNPAc1ib7F0wyKv5HHl9uVN1deNVvhDdqrdPbqFAI+vRyHmUr65HK7dt2H5g3hFo5D2WjhQ5+upSZxnT3dD+zJuHb7Xlt5PAMHM60q07nu59bTa0VgVuHipQK3jMzFdIBTFL+Ip0lj5tqxW82PIsvucQ2h3EyFkjnrmjLM/muH6kSCPj4qeEtXKGy2fLBKnh/xSa2RSXz06yNpEZ2BS0cfLXxFINxw+jMf8D9hubLDRaYwFgudUUNoxhO6d9z4k6kNvPBTr05MJOQmztbGlu8LwOBRqew5VTZSpTWfy0y3rJiz8e1Z6YAJbm8oSO9DTDhQLXjxbjO7/NrrI7CnNnEWG9nGG9nNl82wR+2uX6sSJuEJJda24+81qEdM0fOOa/3RyD9s4laGRTnSaY9YkMbjNk6uo67c1jP4vhVuOLynX0Dh8NWlfoTtDfPBY3k73zWKM+lZXpLBM3av3HJ7BwdrKn/6AylaO43CDVDHD0VhXZG4cLff0Mftpl/g2TlG7WyKw3aWZcVqdzPQMQzOjYHYUxO7A0m+sbHRV/Z6AEKYfV6f7tQ4FGPsXC6TKNrNs5Ya6X0iyemOjZdnUmx+VTpYHxtPsAGkNUU1WBldl875MiXD9a7C2D0hVn9/M9b6M9x8HvxNH+GgpcP9J/8ldHWDhT5uahPOsFj0o5w5XT5b6mvrYw5bA8l2fxdJmbrYl32bUGbjO+eKHZPXZHYcwONHIeV4+XmL6yRqoZxhbqU6Lmo/adweLJCWYWKtFIq64x/+o6LJyZvNXhPqBJRVNuYpOXALm4mcrd8bRmOTcyUUmTdC0gSDmsl9LUimkWzpQp3aiRagTUCh6VyQxePSTVDJiOmcMRSjRsNV3vrxG1PJ1lvRx/8ldHqEzlqEwNv8a1BMrcpRUyVR8VwVGlMpGJ5mNYM9RIWKIwZodqxTTzxTQSKiqQqzSZWaggrU7hejbF1eO37gKiMf9TOEFIKNK/fOcmJzvfcwg8B2cbV9JKVEL86vESbhBy7Gc3O1V01YGpRWHhdJlmJtVXebWecqnjkWqGPQMC2oUTM/Ugds2I4kqDlbndm/w2vVC5VV6llVQLK/VOc5TZfZYojNkl7aaVainNxeIUqUZI6Epn8Z2Nwu1OCBPh2rEih19fGTjKKHFoa6Ace225b1sJQVFmL62ycHZy4Mcvz+Vp5FKUbtRwwpD1Upq1Uobj55dit9/Y37ETEiqFSqMvITkaLW5kiWI0LFEYMwoiI60z1Mh5XD5T7jnhDxLXEZ3UdJWuB+RW61RLgzv8q8V0by2mVh9MasNiR0o0G/3w68tRjaa0w9JsnlpMHadhiOrAIV27mZBML+vMNuY25WfcoeYQbOWOo232UoXS9fXhgxHh+pHetUDanfLpWkC26uOGSqYWMHdpldxKffh9dwkdwff6T1uDJk2a3WGJwpj9RJVspUH56hrFmzWcIKEfQmTTuRVbLTsCt+ZHTF6rdta+GEatmObK6TLrpTSNjMvqZAbfc2JLb0wtbiEJ9QQnXD/SPyordISluXzSO80OWNOTMftFqBy+sEK65iMaXY1PLa5x5dQEjVz81fLqdJZspdE3yql9NR86UR9JqhH0zEaHIWpGCWTXm6xPDD/npJFNca2r4/7Uy9djt0v5YdQRvY1RSvWCx+Uzk0zcqOI1Auq5FCvTuYF9QWbnLFEYs0+Ulmo960K3O2znLq1y6Y1T8QUNFbK1+KGwTc9l4WwZUSjejKqvqiOsTaSZuF7FDbQz0Q3iE0fo7my4aeD291sAOy674WdcWw97D1miMGafKCzHL5bkBIrXCGjGTKJzBzQNtWs2IYJKNFFvdebWiKBKOUthtUG62kSB0lI9Zja1dBZy2q6l2RzTV9Z6jisUWJ7J2pyH24glCmP2i036GuIMqlEVV55j42d5Nb+zMlzgCgTamtOhqAhXuhZy2q61cgYnVCavVTtzHlZmcjaM9TZjicKYfaJSzuDV13uuvpUoGQyqaaSO9FXEhah/Yjmhc3fm8hr5ruVeU4ESSnQH0MimotLju3HFL1Fl3tWpLE6gUVOW3Uncdqz3x5h9ojKZpVbwOiN6wlZn9NXjpcST6/JsjqW5PL4bLSZUz0ZLg26swNrm+GHsmuCikKn61PPe7p/MpTXx0JLEbWksdxQi8ingnwF3A/er6vcHbPcQ8K8BF/j3qvp7exakMXtNoqSQrvlk1/1O7aVNV2xrX7UP2ZwzqCaVQKeonzHdxnVH8QLwCeCZQRuIiAv8IfBR4K3Ap0XkrXsTnjFjIkIjFy3DulbOjGRZTz/txHZ6KAy8CzF3trEkClV9SVVf3mSz+4Gfqup5VW0Afwp8bPTRGXOwha5DpZzpm6inAsszNmnN9NvPfRTHgQtdjy+2njPG7NDNwwWWZnMEbjR8tpZLceV0eaT1qczta2T3mSLyDeBIzEufU9WvDLOLmOcGLy0s8gjwCEBmYm6oGI25Y4mwOpNn1e4gzBBGlihU9cEd7uIicLLr8QlgPuHzHgMeAygdPWdlJI0xZpfs56an7wHnROSsiKSBXwW+OuaYjDHmjjOWRCEiHxeRi8ADwBMi8lTr+WMi8iSAqvrAbwJPAS8BX1LVF8cRrzHG3MnGMhZOVR8HHo95fh54uOvxk8CTexiaMcaYDfZz05Mxxph9wBKFMcaYRJYojDHGJLJEYYwxJpElCmOMMYksURhjjElkicIYY0wiSxTGGGMSWaIwxhiTyBKFMcaYRJYojDHGJLJEYYwxJpElCmOMMYksURhjjElkicIYY0wiSxTGGGMSWaIwxhiTaFxLoX5KRF4UkVBE3pWw3Wsi8ryIPCsi39/LGI0xxkTGshQq8ALwCeCPhtj2g6p6bcTxGGOMGWBca2a/BCAi4/h4Y4wxW7Df+ygU+LqI/EBEHknaUEQeEZHvi8j3m+vLexSeMcYcfCO7oxCRbwBHYl76nKp+ZcjdvFdV50XkEPC0iPxYVZ+J21BVHwMeAygdPafbCtoYY0yfkSUKVX1wF/Yx3/q6KCKPA/cDsYnCGGPMaOzbpicRKYhIqf098BGiTnBjjDF7aFzDYz8uIheBB4AnROSp1vPHROTJ1maHgb8QkeeA7wJPqOrXxhGvMcbcycY16ulx4PGY5+eBh1vfnwfu3ePQjDHGbLBvm56MMcbsD5YojDHGJLJEYYwxJpElCmOMMYksURhjjElkicIYY0wiSxTGGGMSWaIwxhiTyBKFMcaYRJYojDHGJLJEYYwxJpElCmOMMYksURhjjElkicIYY0wiSxTGGGMSWaIwxhiTSFR13DHsOhG5Crw+wo+YBa6NcP/7xZ1wnHaMB8OdcIww2uM8rapzcS8cyEQxaiLyfVV917jjGLU74TjtGA+GO+EYYXzHaU1PxhhjElmiMMYYk8gSxfY8Nu4A9sidcJx2jAfDnXCMMKbjtD4KY4wxieyOwhhjTCJLFMYYYxJZotgmEfkDEfmxiPxQRB4Xkclxx7TbRORTIvKiiIQicqCGHorIQyLysoj8VEQeHXc8oyAinxeRRRF5YdyxjIqInBSRPxeRl1r/Vv/+uGPabSKSFZHvishzrWP83b2OwRLF9j0NvF1V7wFeAf7JmOMZhReATwDPjDuQ3SQiLvCHwEeBtwKfFpG3jjeqkfhPwEPjDmLEfOAfqerdwLuBzx7A32Ud+JCq3gvcBzwkIu/eywAsUWyTqn5dVf3Ww28DJ8YZzyio6kuq+vK44xiB+4Gfqup5VW0Afwp8bMwx7TpVfQa4Me44RklVL6vq/219vwq8BBwfb1S7SyOV1kOv9d+ejkKyRLE7/i7wZ+MOwgztOHCh6/FFDtjJ5U4kImeAdwDfGW8ku09EXBF5FlgEnlbVPT3G1F5+2O1GRL4BHIl56XOq+pXWNp8juv39wl7GtluGOcYDSGKes3HitzERKQJfBv6Bqq6MO57dpqoBcF+rL/RxEXm7qu5Z35MligSq+mDS6yLyGeCXgV/S23RCymbHeEBdBE52PT4BzI8pFrNDIuIRJYkvqOp/G3c8o6SqSyLyP4n6nvYsUVjT0zaJyEPAbwO/oqrr447HbMn3gHMiclZE0sCvAl8dc0xmG0REgP8AvKSq/2rc8YyCiMy1R1WKSA54EPjxXsZgiWL7/g1QAp4WkWdF5N+OO6DdJiIfF5GLwAPAEyLy1Lhj2g2tQQi/CTxF1Pn5JVV9cbxR7T4R+c/A/wHuEpGLIvLr445pBN4L/Brwodbf4bMi8vC4g9plR4E/F5EfEl3kPK2q/2MvA7ASHsYYYxLZHYUxxphEliiMMcYkskRhjDEmkSUKY4wxiSxRGGOMSWSJwpg9JCJfE5ElEdnT4Y3G7IQlCmP21h8Qjfs35rZhicKYERCRX2ytVZIVkUJrHYG3q+o3gdVxx2fMVlitJ2NGQFW/JyJfBf4FkAP+ZC+LuBmzmyxRGDM6/5yo5EIN+K0xx2LMtlnTkzGjMw0UiWqCZcccizHbZonCmNF5DPinRGuV/P6YYzFm26zpyZgREJG/A/iq+sXWGt1/KSIfAn4XeAtQbFXm/XVVPRBVec3BZdVjjTHGJLKmJ2OMMYksURhjjElkicIYY0wiSxTGGGMSWaIwxhiTyBKFMcaYRJYojDHGJPr/lY+wPstRkPwAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "X_plot, y_plot = X_test[:, :1000].copy(), y_test[:, :1000].copy()\n",
    "plot_decision_boundary(lambda x: predict(x.T, parameters, 'relu'), X_plot, y_plot)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.8664000000000003"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "y_pred = predict(X_test, parameters, 'relu')\n",
    "test_acc = np.sum((y_pred == y_test) / X_test.shape[1])\n",
    "test_acc"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.6"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
